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A piano reference: chords, scales, theory. Full MIDI.

A Diminished

Notes: A - C - E♭ | Degrees: 1 - ♭3 - ♭5 | Written: Adim, A°

Construction: Root, Minor 3rd, Diminished 5th

It is built by stacking two minor thirds (3 semitones each), giving it a tense, unstable, and dissonant character

Fingering: RH 1-3-5, LH 5-3-1

Inversions: Root Adim - 1st Adim/C - 2nd Adim/E♭

< A♭ Diminished | A♯ Diminished >

Related boards
Adim6 st, 83.0 mmRoot position, figured bass 5/3

A3, C4, E♭4

Fingerings

Root position: either hand, fingers low note to high
HandNotesFingers
RightA, C, E♭1-3-5
LeftA, C, E♭5-3-1

Close-position standard fingering: either hand takes the whole shape. Thumb is 1, little finger is 5.

A Diminished: notes and degrees

Adim contains A, C and E♭. Two stacked minor thirds.

Scale degree, note, and interval measured from the root.
DegreeNoteInterval from rootSemitones
1APerfect unison0
♭3CMinor third3
♭5E♭Tritone6

E♭ is a black key; A and C are white.

Construction

A Diminished = Root + Minor 3rd + Diminished 5th = A, C, E♭
NoteIntervalDegree
ARoot1
CMinor 3rd♭3
E♭Diminished 5th♭5

Fingering

NoteKey colorRight handLeft hand
Awhitethumb (1)little finger (5)
Cwhitemiddle finger (3)middle finger (3)
E♭blacklittle finger (5)thumb (1)

Right hand: thumb (1) on A, middle finger (3) on C, little finger (5) on E♭.

Left hand: little finger (5) on A, middle finger (3) on C, thumb (1) on E♭.

A Diminished Inversions

  • Root position
    A – C – E♭
  • 1st inversion (Adim/C)
    C – E♭ – A
  • 2nd inversion (Adim/E♭)
    E♭ – A – C

Key Signature

A Diminished chord is built from symmetrical or ambiguous intervals, so it doesn't belong to a single key and has no key signature of its own.

Chords in the Key of A Major

These are the triads built on each degree of A Major:

C1C2C3C4AC5EC6C7C8C♯
IA Major (major)
DegreeNumeralChordQuality
1IA MajorMajor
2iiB MinorMinor
3iiiC♯ MinorMinor
4IVD MajorMajor
5VE MajorMajor
6viF♯ MinorMinor
7vii°G♯ DiminishedDiminished

How A Diminished functions in a key

The same chord takes on a different harmonic role depending on the key it appears in. Here is where A Diminished sits diatonically across the common keys:

  • In B♭ major, A Diminished is the vii° chordthe dominant.
  • In G minor, A Diminished is the ii° chorda predominant.

Scales That Include the A Diminished

A Diminished : Frequently Asked Questions

What is the A Diminished chord on piano?
The A Diminished chord contains the notes A – C – E♭. On piano, play these notes together to sound the chord.
What notes are in the A Diminished chord?
The A Diminished chord contains: A (root), C (minor third), and Eb (diminished fifth). Both intervals are compressed: the minor third is 3 semitones above the root, and the diminished fifth is 6 semitones, a tritone.
How does A Diminished differ from A Minor?
A Minor has a perfect fifth. A Diminished lowers the fifth by one semitone to Eb (diminished fifth). That extra compression creates intense harmonic tension: the tritone between root and diminished fifth is the most dissonant interval in Western music.
What is the symbol for the A Diminished?
A Diminished is written as Adim or A°. The ° or "dim" symbol means both the third and fifth are minor/diminished. Do not confuse with Adim7 or Aø (half-diminished), which include additional notes.
What are the inversions of A Diminished?
First inversion (A Diminished/C): C–Eb–A. Second inversion (A Diminished/Eb): Eb–A–C. Diminished triads are used in classical music as the vii° chord, the chord one semitone below the tonic, with strong resolution pull.
How is A Diminished used in music?
A Diminished most commonly functions as the vii° chord in a major key, creating strong resolution back to the tonic. It also works as a chromatic passing chord between two nearby chords, and in classical music as a brief point of dissonance. Jazz uses the full four-note dim7 more often than the triad.
What songs use diminished chords?
Michelle (Beatles) uses a diminished chord as a chromatic passing chord. Many classical pieces use vii°–I cadences. Jazz standards use dim7 chords as chromatic passing and approach chords. Diminished harmony also appears in flamenco and film music for dramatic tension.

A Diminished in detail

Exact

Every pitch class is present and nothing outside the chord is added.

TypeNotesSemitonesSpanOmissions and additionsSet relationFit
Close, root positionA3 C4 E♭4683 mmnoneidentical
Close, first inversionC4 E♭4 A49124 mmnoneidentical
Close, second inversionE♭4 A4 C59124 mmnoneidentical
Open, fifth on topA2 E♭3 C415206 mmnoneidentical

Reduced

A subset of the pitch classes: the identity is incomplete rather than altered.

TypeNotesSemitonesSpanOmissions and additionsSet relationFit
Root and third onlyA3 C4341 mmomits E♭subset

Spans are measured centre to centre at a 165 mm octave (standard keyboard geometry).

Which keys it belongs to

KeyRoman numeralFunction
G minorii°Predominant
B♭ majorvii°Dominant function

Classification system: common-practice functional harmony.

Change one note

Chords a single note away, and what moving that note does.

ChordChangeFormulaCommon tones
Am7♭5adds G1 ♭3 ♭5 ♭73
Adim7adds G♭1 ♭3 ♭5 ♭♭73
AmE♭ becomes E1 ♭3 52
Am7E♭ becomes E, G1 ♭3 5 ♭72
AmMaj7E♭ becomes E, G♯1 ♭3 5 72
Am6E♭ becomes E, F♯1 ♭3 5 62
AC, E♭ becomes C♯, E1 3 51
AaugC, E♭ becomes C♯, E♯1 3 ♯51
Asus2C, E♭ becomes B, E1 2 51
Asus4C, E♭ becomes D, E1 4 51

Frequencies

NoteMIDIFrequency
A357220.00 Hz
C460261.63 Hz
E♭463311.13 Hz

Reference pitch A440, 12-TET, close root position.

Set theory: prime form, Forte number, interval vector
Absolute pitch class set
{9, 0, 3}
Normal order
[9, 0, 3]
Prime form
(036)
Forte number
3-10
Interval vector
<002001>
PairIntervalSemitonesInterval class
A to CMinor third33
A to E♭Tritone66
C to E♭Minor third33

Where these facts come from

Every value on this page is derived from the note formula for a diminished applied to the root A, using standard music theory. Nothing here is hand-entered per chord, so the notes, intervals, inversions and frequencies cannot drift out of agreement with each other. Pitches assume 12-TET at A440.